👉 A non-degenerate set of points in a plane is one that can be drawn on it without crossing itself or any other point. In other words, a non-degenerated set of points has no self-intersections and does not contain any parallel lines. Non-degeneracy means that every point in the set lies in the same half-plane (a plane containing only positive x-coordinates) as all its neighbors. It is also called "non-collinear" or "non-parallel."